Solve S_{n}=frac{A_{n}}{(A_{n})}

$$S _ { n } = \frac { A _ { n } } { ( A _ { n } ) }$$

Solve for A_n

$$A_{n}\neq 0$$

$$S_{n}=1\text{ and }A_{n}\neq 0$$

Steps for Solving Linear Equation

Variable A_{n} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by A_{n}.

$$S_{n}A_{n}=A_{n}$$

Subtract A_{n} from both sides.

$$S_{n}A_{n}-A_{n}=0$$

Combine all terms containing A_{n}.

$$\left(S_{n}-1\right)A_{n}=0$$

Divide 0 by S_{n}-1.

$$A_{n}=0$$

Variable A_{n} cannot be equal to 0.

$$A_{n}\in \emptyset$$

Solve for S_n

$$S_{n}=1$$

$$A_{n}\neq 0$$

Steps for Solving Linear Equation

Cancel out A_{n} in both numerator and denominator.

$$S_{n}=1$$